Answer:
2
Step-by-step explanation:
If two shapes are similar, this means the ratio of similar sides to each other are the same.
So, in the green shape, the long side length is 5 mm. In the purple shape, the long side length is 10 mm in length. The ratio is therefore 5 to 10, which can be simplified to 1 to 2 (which is basically saying that the side lengths of the purple shape are double the length of the sides of the green shape).
Using the same 1 to 2 ratio, you know that the short side length on the green shape is 1. The short side length on the purple shape (j) must therefore be double, which is 2.
Answer:
Amount of flour in the bag when Mary began = 
Step-by-step explanation:
Given:
Number of baked loaves of bread made from flour = 4
Number of muffins made from flour = 48
To find: Amount of flour in the bag when Mary began
Solution:
Let x denotes amount of flour used to make one baked loave of bread and y denotes amount of flour used to make one muffin.
So,
Amount of flour used to make 4 baked loaves of bread = 4 x
Amount of flour used to make 48 muffins = 48 y
Amount of flour in the bag when Mary began =
Answer:
y=2
Step-by-step explanation:
1/3 (y+7) = 3(y-1)
Multiply each side by 3 to get rid of the fraction
3*1/3 (y+7) = 3*3(y-1)
y+7 = 9(y-1)
Distribute
y+7 = 9y - 9
Subtract y from each side
y+7-y = 9y-y-9
7 = 8y -9
Add 9 to each side
7+9 = 8y-9+9
16 = 8y
Divide each side by8
16/8 = 8y/8
2 = y
